TSTP Solution File: SYO029^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO029^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:02:17 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 4 unt; 2 typ; 0 def)
% Number of atoms : 113 ( 41 equ; 3 cnn)
% Maximal formula atoms : 8 ( 5 avg)
% Number of connectives : 117 ( 38 ~; 16 |; 4 &; 52 @)
% ( 5 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 12 ^ 14 !; 8 ?; 35 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_3,type,
sK0: ( $o > $o ) > $o ).
thf(func_def_6,type,
ph2:
!>[X0: $tType] : X0 ).
thf(f47,plain,
$false,
inference(trivial_inequality_removal,[],[f46]) ).
thf(f46,plain,
$true = $false,
inference(boolean_simplification,[],[f45]) ).
thf(f45,plain,
( ~ $true = $true ),
inference(trivial_inequality_removal,[],[f44]) ).
thf(f44,plain,
( ( $true != $true )
| ( ~ $true = $true ) ),
inference(superposition,[],[f11,f42]) ).
thf(f42,plain,
( $true
= ( sK0 @ (~) ) ),
inference(duplicate_literal_removal,[],[f41]) ).
thf(f41,plain,
( ( $true
= ( sK0 @ (~) ) )
| ( $true
= ( sK0 @ (~) ) ) ),
inference(beta_eta_normalization,[],[f27]) ).
thf(f27,plain,
( ( $true
= ( sK0
@ ^ [Y0: $o] :
~ ( ^ [Y1: $o] : Y1
@ Y0 ) ) )
| ( $true
= ( ^ [Y0: $o] : Y0
@ ( sK0
@ ^ [Y0: $o] :
~ ( ^ [Y1: $o] : Y1
@ Y0 ) ) ) ) ),
inference(primitive_instantiation,[],[f22]) ).
thf(f22,plain,
! [X3: $o > $o] :
( ( ( X3
@ ( sK0
@ ^ [Y0: $o] :
~ ( X3 @ Y0 ) ) )
= $true )
| ( ( sK0
@ ^ [Y0: $o] :
~ ( X3 @ Y0 ) )
= $true ) ),
inference(not_proxy_clausification,[],[f21]) ).
thf(f21,plain,
! [X3: $o > $o] :
( ( ( sK0
@ ^ [Y0: $o] :
~ ( X3 @ Y0 ) )
= $true )
| ( $true
!= ( ~ ( X3
@ ( sK0
@ ^ [Y0: $o] :
~ ( X3 @ Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f16]) ).
thf(f16,plain,
! [X3: $o > $o] :
( ( ( sK0
@ ^ [Y0: $o] :
~ ( X3 @ Y0 ) )
= $true )
| ( $true
!= ( ^ [Y0: $o] :
~ ( X3 @ Y0 )
@ ( sK0
@ ^ [Y0: $o] :
~ ( X3 @ Y0 ) ) ) ) ),
inference(primitive_instantiation,[],[f12]) ).
thf(f12,plain,
! [X0: $o > $o] :
( ( $true
!= ( X0 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
! [X0: $o > $o] :
( ( ( $true
!= ( X0 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ X0 )
= $true ) )
& ( ( $true
= ( X0 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ X0 )
!= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9]) ).
thf(f9,plain,
! [X0: $o > $o] :
( ? [X1: $o] :
( ( ( ( X0 @ X1 )
!= $true )
| ( $true = X1 ) )
& ( ( ( X0 @ X1 )
= $true )
| ( $true != X1 ) ) )
=> ( ( ( $true
!= ( X0 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ X0 )
= $true ) )
& ( ( $true
= ( X0 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ X0 )
!= $true ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
! [X0: $o > $o] :
? [X1: $o] :
( ( ( ( X0 @ X1 )
!= $true )
| ( $true = X1 ) )
& ( ( ( X0 @ X1 )
= $true )
| ( $true != X1 ) ) ),
inference(nnf_transformation,[],[f7]) ).
thf(f7,plain,
! [X0: $o > $o] :
? [X1: $o] :
( ( $true != X1 )
<~> ( ( X0 @ X1 )
= $true ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ? [X0: $o > $o] :
! [X1: $o] :
( ( $true != X1 )
<=> ( ( X0 @ X1 )
= $true ) ),
inference(flattening,[],[f5]) ).
thf(f5,plain,
~ ? [X0: $o > $o] :
! [X1: $o] :
( ( ( X0 @ X1 )
= $true )
<=> ( $true != X1 ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ? [X0: $o > $o] :
! [X1: $o] :
( ( X0 @ X1 )
<=> ~ X1 ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X0: $o > $o] :
! [X1: $o] :
( ( X0 @ X1 )
<=> ~ X1 ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
? [X0: $o > $o] :
! [X1: $o] :
( ( X0 @ X1 )
<=> ~ X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(f11,plain,
! [X0: $o > $o] :
( ( ( sK0 @ X0 )
!= $true )
| ( $true
= ( X0 @ ( sK0 @ X0 ) ) ) ),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO029^1 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 08:58:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.14/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % (6129)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.14/0.37 % (6128)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.14/0.37 % (6129)Refutation not found, incomplete strategy
% 0.14/0.37 % (6129)------------------------------
% 0.14/0.37 % (6129)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (6129)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % (6129)Memory used [KB]: 5500
% 0.14/0.37 % (6129)Time elapsed: 0.002 s
% 0.14/0.37 % (6129)Instructions burned: 1 (million)
% 0.14/0.37 % (6129)------------------------------
% 0.14/0.37 % (6129)------------------------------
% 0.14/0.37 % (6128)Instruction limit reached!
% 0.14/0.37 % (6128)------------------------------
% 0.14/0.37 % (6128)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (6128)Termination reason: Unknown
% 0.14/0.37 % (6128)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (6128)Memory used [KB]: 5500
% 0.14/0.37 % (6128)Time elapsed: 0.003 s
% 0.14/0.37 % (6128)Instructions burned: 5 (million)
% 0.14/0.37 % (6128)------------------------------
% 0.14/0.37 % (6128)------------------------------
% 0.14/0.37 % (6130)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.37 % (6127)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.37 % (6134)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.14/0.37 % (6130)First to succeed.
% 0.14/0.37 % (6132)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.14/0.37 % (6130)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (6130)------------------------------
% 0.14/0.37 % (6130)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (6130)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (6130)Memory used [KB]: 5500
% 0.14/0.37 % (6130)Time elapsed: 0.003 s
% 0.14/0.37 % (6130)Instructions burned: 1 (million)
% 0.14/0.37 % (6130)------------------------------
% 0.14/0.37 % (6130)------------------------------
% 0.14/0.37 % (6126)Success in time 0.011 s
% 0.14/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------